29 citations · 32 across the 6 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.GT2016
A journey through loop braid groups
Celeste Damiani
In this paper we introduce distinct approaches to loop braid groups, a generalisation of braid groups, and unify all the definitions that have appeared so far in literature, with a…
math.GT2016★ 29 cited
Unrestricted virtual braids, fused links and other quotients of virtual braid groups
Valeriy Bardakov, Paolo Bellingeri, Celeste Damiani
We consider the group of unrestricted virtual braids, describe its structure and explore its relations with fused links. Also, we define the groups of flat virtual braids and virtu…
math.GT2016
Alexander invariants of ribbon tangles and planar algebras
Celeste Damiani, Vincent Florens
Ribbon tangles are proper embeddings of tori and cylinders in the -ball~, "bounding" -manifolds with only ribbon disks as singularities. We construct an Alexander invari…